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Simplifying 4 + -2(x + 1) = 5x + -3(2x + -2) Reorder the terms: 4 + -2(1 + x) = 5x + -3(2x + -2) 4 + (1 * -2 + x * -2) = 5x + -3(2x + -2) 4 + (-2 + -2x) = 5x + -3(2x + -2) Combine like terms: 4 + -2 = 2 2 + -2x = 5x + -3(2x + -2) Reorder the terms: 2 + -2x = 5x + -3(-2 + 2x) 2 + -2x = 5x + (-2 * -3 + 2x * -3) 2 + -2x = 5x + (6 + -6x) Reorder the terms: 2 + -2x = 6 + 5x + -6x Combine like terms: 5x + -6x = -1x 2 + -2x = 6 + -1x Solving 2 + -2x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -2x + x = 6 + -1x + x Combine like terms: -2x + x = -1x 2 + -1x = 6 + -1x + x Combine like terms: -1x + x = 0 2 + -1x = 6 + 0 2 + -1x = 6 Add '-2' to each side of the equation. 2 + -2 + -1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 6 + -2 -1x = 6 + -2 Combine like terms: 6 + -2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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